Finding the Third Proportional to 122,466.50 and 185,546

Step by Step Solution

1. Step 1: Write the proportion equation
   122,466.50 : 185,546 = 185,546 : x
2. Step 2: Convert to fraction form
   122,466.50/185,546 = 185,546/x
3. Step 3: Cross multiply
   122,466.50x = 185,546 × 185,546
4. Step 4: Simplify right side
   122,466.50x = 34,427,318,116
5. Step 5: Solve for x
   x = 34,427,318,116/122,466.50
6. Step 6: Final answer
   x = 281,116.21